On the Taylor distribution

The original Taylor distribution was designed to terminate abruptly in a pedestal ( ) at its edges. It has been found recently, however, that a pedestal cannot be realized exactly in either the or planes, nor even approximately in the plane. A new distribution is derived here that produces a Taylor pattern of order and, hence, that vanishes linearly at the edges. This edge behavior can be realized exactly in the plane and can be approximated as closely as desired in the plane. All practical differences in operating performance between the two distributions have been found to be negligible.